How to solve 2/8-(-5/12)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 2/8-(-5/12) | Equatix

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Question

$$2/8-(-5/12)$$

Evaluate

$\frac{2}{3}\approx 0.666666667$

Solution Steps

Reduce the fraction $\frac{2}{8}$ to lowest terms by extracting and canceling out $2$.

$$\frac{1}{4}-\frac{-5}{12}$$

Fraction $\frac{-5}{12}$ can be rewritten as $-\frac{5}{12}$ by extracting the negative sign.

$$\frac{1}{4}-\left(-\frac{5}{12}\right)$$

The opposite of $-\frac{5}{12}$ is $\frac{5}{12}$.

$$\frac{1}{4}+\frac{5}{12}$$

Least common multiple of $4$ and $12$ is $12$. Convert $\frac{1}{4}$ and $\frac{5}{12}$ to fractions with denominator $12$.

$$\frac{3}{12}+\frac{5}{12}$$

Since $\frac{3}{12}$ and $\frac{5}{12}$ have the same denominator, add them by adding their numerators.

$$\frac{3+5}{12}$$

Add $3$ and $5$ to get $8$.

$$\frac{8}{12}$$

Reduce the fraction $\frac{8}{12}$ to lowest terms by extracting and canceling out $4$.

$$\frac{2}{3}$$

Show Solution

Factor

$\frac{2}{3} = 0.6666666666666666$